- Publications
- Influence

Claim Your Author Page

Ensure your research is discoverable on Semantic Scholar. Claiming your author page allows you to personalize the information displayed and manage your publications. Semantic Scholar automatically creates author pages based on data aggregated from

**public sources and our publisher partners.**We discuss the numerical solution of large-scale discrete-time algebraic Riccati equations (DAREs) as they arise, e.g., in fully discretized linear-quadratic optimal control problems for parabolic… Expand

List of Figures. List of Tables. Acknowledgments. 1. Introduction. 2. Preliminaries. 3. The Butterfly Form for Symplectic Matrices and Matrix Pencils. 4. Butterfly SR and SZ Algorithms. 5. The… Expand

The model order reduction of second-order dynamical multi-input and multi-output (MIMO) systems with proportional damping arising in the numerical simulation of mechanical structures is discussed.… Expand

An algorithm to solve continuous-time algebraic Riccati equations through the Hamiltonian Schur form is developed. It is an adaption for Hamiltonian matrices of an asymmetric Jacobi method of… Expand

Abstract: Numerical simulations of the behavior of machine tools are usually based on a finite element (FE) discretization of their mechanical structure. After linearization one obtains a… Expand

As will be shown in this paper, there always exists an R such that (1.1) holds. We present a stableO(n3) algorithm that computes an R that has the form of a permuted triangular matrix. Our motivation… Expand

An implicitly restarted symplectic Lanczos method for the symplectic eigenvalue problem is presented. The Lanczos vectors are constructed to form a symplectic basis. The inherent numerical… Expand

A new class of structured polynomial eigenproblems arising in the stability analysis
of time-delay systems is identified and analyzed together with new types of closely related structured… Expand

Conjugate-normal matrices play the same important role in the theory of unitary congruence as the conventional normal matrices do with respect to unitary similarities. However, unlike the latter, the… Expand

We discuss a Krylov-Schur like restarting technique applied within the symplectic Lanczos algorithm for the Hamiltonian eigenvalue problem. This allows to easily implement a purging and locking… Expand